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104444111424240 = 2433576907679327
BaseRepresentation
bin10111101111110111001010…
…001010010000101011110000
3111200210202111201000010111000
4113233313022022100223300
5102142203020011033430
61010044543513522000
730666560306026650
oct2757671212205360
9450722451003430
10104444111424240
1130308554057055
12b869b75713300
134638064367373
141bb119c95c360
15c11c6ea8ee60
hex5efdca290af0

104444111424240 has 160 divisors (see below), whose sum is σ = 411145073602560. Its totient is φ = 23872939750656.

The previous prime is 104444111424223. The next prime is 104444111424271. The reversal of 104444111424240 is 42424111444401.

104444111424240 is a `hidden beast` number, since 1 + 0 + 44 + 44 + 11 + 142 + 424 + 0 = 666.

It is a super-2 number, since 2×1044441114242402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104444111424195 and 104444111424204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3453824544 + ... + 3453854783.

It is an arithmetic number, because the mean of its divisors is an integer number (2569656710016).

Almost surely, 2104444111424240 is an apocalyptic number.

104444111424240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104444111424240 is an abundant number, since it is smaller than the sum of its proper divisors (306700962178320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104444111424240 is a wasteful number, since it uses less digits than its factorization.

104444111424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6907679356 (or 6907679344 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 104444111424240 its reverse (42424111444401), we get a palindrome (146868222868641).

The spelling of 104444111424240 in words is "one hundred four trillion, four hundred forty-four billion, one hundred eleven million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 6907679327 13815358654 20723037981 27630717308 34538396635 41446075962 48353755289 55261434616 62169113943 69076793270 82892151924 96707510578 103615189905 110522869232 124338227886 138153586540 145061265867 165784303848 186507341829 193415021156 207230379810 241768776445 248676455772 276307173080 290122531734 310845569715 331568607696 373014683658 386830042312 414460759620 435183797601 483537552890 497352911544 552614346160 580245063468 621691139430 725306329335 746029367316 773660084624 828921519240 870367595202 932536709145 967075105780 994705823088 1160490126936 1243382278860 1305551392803 1450612658670 1492058734632 1657843038480 1740735190404 1865073418290 1934150211560 2175918988005 2320980253872 2486764557720 2611102785606 2901225317340 2984117469264 3481470380808 3730146836580 3868300423120 4351837976010 4973529115440 5222205571212 5802450634680 6527756964015 6962940761616 7460293673160 8703675952020 10444411142424 11604901269360 13055513928030 14920587346320 17407351904040 20888822284848 26111027856060 34814703808080 52222055712120 104444111424240